Optimizing spacecraft reorientation maneuvers using a pseudospectral method

Performance evaluation of the inverse dynamics method for optimal spacecraft reorientation

“…(8). As a result of this mapping, the time derivatives of the angles, expressed as function of τ, are obtained from the virtual derivatives according to…”

“…The IDVD applied to virtual domain employs the Gauss-Legendre Quadrature method with 4 points to integrate Eq. (8). Reference solutions are computed with the Gauss Pseudospectral Optimization Software GPOPS [21].…”

“…In particular, Bilimoria and Wie investigated the time optimal rest to rest reorientation of a symmetric spacecraft, showing that bang-bang control is optimal and the resulting motion has a significant nutational component [6].methods are based on the numerical integration of the differential equations of motion and provide accurate solutions, but may converge slowly [8,9]. On the contrary, in inverse dynamics the trajectory is approximated by analytical functions.…”

Particle Swarm Optimization for Time-Optimal Spacecraft Reorientation with Keep-Out Cones

“…The minimum time reorientation maneuver of a rigid spacecraft is a well-known problem; the first related work regarding a numerical approach dates back to the 1990s [1][2][3][4]. These papers have been used as a reference providing some test cases for successive works as in [5][6][7]; the research still focuses on this problem with several approaches, for example, through homotopic approach algorithms [8], pseudospectral optimization analysis [9,10], or with hybrid numerical techniques [11].…”